The lines on the triangles
The best and the most correct answer among the choices provided by the question is the fourth choice. K has a coordinate of -0.4. I hope my answer has come to your help. God bless and have a nice day ahead! Feel free to ask more questions.
Answer:
11 will be shared out and there will be 2 rubbers left.
Step-by-step explanation:
the last number that 3 goes into before 35 is 33. 33 ÷ 3 = 11. So each friend gets 11 rubbers. then from 33, there will be 2 rubbers left.
Answer:
(2x+3)(5x+2)
Step-by-step explanation:
10x²+19x+6
multiply to get 60
add to get 19
10x²+19x+6
(10x²+15x)(+4x+6)
factorise:
10x²+15x
5x(2x+3)
4x+6
2(2x+3)
(2x+3)(5x+2)
Answer:
The equation does not have a real root in the interval ![\rm [0,1]](https://tex.z-dn.net/?f=%5Crm%20%5B0%2C1%5D)
Step-by-step explanation:
We can make use of the intermediate value theorem.
The theorem states that if 
is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:
- If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
- The image of a continuous function over an interval is itself an interval.
Of course, in our case, we will make use of the first one.
First, we need to proof that our function is continues in , which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval , which means to evaluate the equation in 0 and 1:
Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval . I attached a plot of the equation in the interval ![\rm [-2,2]](https://tex.z-dn.net/?f=%5Crm%20%5B-2%2C2%5D)
where you can clearly observe how the graph does not cross the x-axis in the interval.
